72.6.5 problem 5

Internal problem ID [14730]
Book : DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th edition. Brooks/Cole. Boston, USA. 2012
Section : Chapter 1. First-Order Differential Equations. Exercises section 1.8 page 121
Problem number : 5
Date solved : Tuesday, January 28, 2025 at 07:13:00 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }&=3 y-4 \,{\mathrm e}^{3 t} \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 14

dsolve(diff(y(t),t)=3*y(t)-4*exp(3*t),y(t), singsol=all)
 

\[ y = \left (-4 t +c_{1} \right ) {\mathrm e}^{3 t} \]

✓ Solution by Mathematica

Time used: 0.040 (sec). Leaf size: 17

DSolve[D[y[t],t]==3*y[t]-4*Exp[3*t],y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to e^{3 t} (-4 t+c_1) \]